Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

被引:27
作者
Akil, Mohammad [1 ]
机构
[1] Univ Polytech Hauts FYance, CERAMATHS DEMAV, F-59313 Valenciennes 9, France
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 06期
关键词
Piezoelectric material; Heat; Memory damping; C-0-semigroup; Exponential stability; Polynomial stability; TIMOSHENKO SYSTEMS; HEAT-CONDUCTION; EQUATION; SEMIGROUPS; DECAY;
D O I
10.1007/s00033-022-01867-w
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin)-Curtin thermal law with magnetic effect. First, we study the piezoelectric Coleman-Gurtin system and we obtain an exponential stability result. Next, we consider the piezoelectric Gurtin-Pipkin system and we establish a polynomial energy decay rate of type t(-1).
引用
收藏
页数:31
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